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21217163730 = 23572292831559
BaseRepresentation
bin10011110000101001…
…000011100111010010
32000202122211120222220
4103300221003213102
5321423043214410
613425205241510
71350531626130
oct236051034722
960678746886
1021217163730
118aa8599164
124141703296
1320018cb569
141053c02750
15842a47070
hex4f0a439d2

21217163730 has 128 divisors (see below), whose sum is σ = 58693939200. Its totient is φ = 4808312064.

The previous prime is 21217163729. The next prime is 21217163731. The reversal of 21217163730 is 3736171212.

It is an interprime number because it is at equal distance from previous prime (21217163729) and next prime (21217163731).

It is a junction number, because it is equal to n+sod(n) for n = 21217163691 and 21217163700.

It is not an unprimeable number, because it can be changed into a prime (21217163731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13608691 + ... + 13610249.

It is an arithmetic number, because the mean of its divisors is an integer number (458546400).

Almost surely, 221217163730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21217163730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29346969600).

21217163730 is an abundant number, since it is smaller than the sum of its proper divisors (37476775470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21217163730 is a wasteful number, since it uses less digits than its factorization.

21217163730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088.

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 21217163730 in words is "twenty-one billion, two hundred seventeen million, one hundred sixty-three thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 229 283 458 566 687 849 1145 1374 1415 1559 1603 1698 1981 2290 2830 3118 3206 3435 3962 4245 4677 4809 5943 6870 7795 8015 8490 9354 9618 9905 10913 11886 15590 16030 19810 21826 23385 24045 29715 32739 46770 48090 54565 59430 64807 65478 109130 129614 163695 194421 324035 327390 357011 388842 441197 453649 648070 714022 882394 907298 972105 1071033 1323591 1360947 1785055 1944210 2142066 2205985 2268245 2499077 2647182 2721894 3088379 3570110 4411970 4536490 4998154 5355165 6176758 6617955 6804735 7497231 9265137 10710330 12495385 13235910 13609470 14994462 15441895 18530274 24990770 30883790 37486155 46325685 74972310 92651370 101034113 202068226 303102339 505170565 606204678 707238791 1010341130 1414477582 1515511695 2121716373 3031023390 3536193955 4243432746 7072387910 10608581865 21217163730